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Finding the Fourth Proportional to 6,547.64, 9,037.35 and 4,156.92

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Solution

The fourth proportional to 6,547.64, 9,037.35 and 4,156.92 is: 5,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.64 : 9,037.35 = 4,156.92 : x
  2. Step 2: Convert to fraction form
    6,547.64/9,037.35 = 4,156.92/x
  3. Step 3: Cross multiply
    6,547.64x = 9,037.35 × 4,156.92
  4. Step 4: Simplify right side
    6,547.64x = 37,567,540.96
  5. Step 5: Solve for x
    x = 37,567,540.96/6,547.64
  6. Step 6: Final answer
    x = 5,737.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.